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Standard XII
Physics
Question

A particle is moving along a fixed circular orbit with uniform speed. Then the correct statement among the following is:
  1. Angular momentum of particle is constant only in magnitude but its direction changes from point to point
  2. Angular momentum of particle is constant only in direction but its magnitude changes from point to point
  3. Angular momentum of particle is constant both in magnitude and direction
  4. Angular momentum of particle is not constant both in magnitude and direction

A
Angular momentum of particle is constant only in magnitude but its direction changes from point to point
B
Angular momentum of particle is constant only in direction but its magnitude changes from point to point
C
Angular momentum of particle is constant both in magnitude and direction
D
Angular momentum of particle is not constant both in magnitude and direction
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Solution
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Let fixed orbit have radius 'R' and uniform velocity of the partial is V.
According to Question:
Angular momentum L=M(→V×→R) .......(1)
Direction = Perpendicular to the plane of motion ...(2)
(∵ V, R is constant so L will be constant as well).
from equation 1,2. L will be constant in magnitude and direction.
Option C

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